Question

6. Calculati media aritmetica si meadia geometrica a numerelor:
a = | √12 - 4 | + 4/ 4 - √12 + 10
b = | 2√2 - 3 | - 1/ 3 - 2√2 + √32 + √(- 8)²

Answer 1

Explicație pas cu pas:

a= | 2√3 - 4| +1 - 2√3 +10

a= 4- 2√3+1 - 2√3+10

a= 15 - 4√3

b= 3-2√2 - 1/3 - 2√2 + 4√2 + 8

b= 8/3 +8

b= 32/3

(a+b)/2 = { [3(15-4√3)+ 32] /3} /2

= [(45+32- 4√3)/3]/2

= (77-4√3)/6

√ab =√ 32/3 ( 15-4√3)

=√ 32/3 x 15 - 32/3 x 4√3

=√ 32 x 5 - 32x4√3 /3

=√ 32( 5- 4√3/3)

= 4 √ 2( 5 - 4√3 / 3)